
eBook - ePub
Fractional Differential Equations
An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications
- 340 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Fractional Differential Equations
An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications
About this book
This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models.In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research.A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications.
- A unique survey of many applications of fractional calculus
- Presents basic theory
- Includes a unified presentation of selected classical results, which are important for applications
- Provides many examples
- Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory
- The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches
- Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Fractional Differential Equations by Igor Podlubny in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Inside Front Cover
- Copyright page
- Mathematics in Science and Engineering
- Dedication
- List of Figures
- Preface
- Acknowledgements
- Chapter 1: Special Functions of the Fractional Calculus
- Chapter 2: Fractional Derivatives and Integrals
- Chapter 3: Existence and Uniqueness Theorems
- Chapter 4: The Laplace Transform Method
- Chapter 5: Fractional Green’s Function
- Chapter 6: Other Methods for Solution of Fractional Order Equations
- Chapter 7: Numerical Evaluation of Fractional Derivatives
- Chapter 8: Numerical Solution of Fractional Differential Equations
- Chapter 9: Fractional-order Systems and Controllers
- Chapter 10: Survey of Applications of the Fractional Calculus
- Appendix: Tables of Fractional Derivatives
- Bibliography
- Index